The volume of 1 litre is equal to

Options

A. `10 dm^(3)`
B. `1 m^(3)`
C. `10^(3) dm^(3)`
D. `10^(3) cm^(3)`

Explanation

To find the volume equivalent of 1 liter, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of a Liter**:
- 1 liter is a unit of volume commonly used in the metric system.

2. **Convert Liters to Cubic Centimeters**:
- It is known that 1 liter is equal to 1000 cubic centimeters (cm³).
- This can be expressed as:
\[ 1 \, \text{L} = 1000 \, \text{cm}^3 \]
- In scientific notation, this is:
\[ 1 \, \text{L} = 10^3 \, \text{cm}^3 \]

3. **Convert Liters to Cubic Decimeters**:
- 1 liter is also defined as 1 cubic decimeter (dm³).
- Therefore:
\[ 1 \, \text{L} = 1 \, \text{dm}^3 \]

4. **Convert Liters to Cubic Meters**:
- Since 1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³), we can express 1 liter in cubic meters as:
\[ 1 \, \text{L} = 10^{-3} \, \text{m}^3 \]

5. **Summarize the Relationships**:
- From the above conversions, we can summarize:
- \( 1 \, \text{L} = 10^3 \, \text{cm}^3 \)
- \( 1 \, \text{L} = 1 \, \text{dm}^3 \)
- \( 1 \, \text{L} = 10^{-3} \, \text{m}^3 \)

### Final Answer:
Thus, the volume of 1 liter is equal to:
\[ 1 \, \text{L} = 10^3 \, \text{cm}^3 \]